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Finding the Fourth Proportional to 2,464.53, 3,400.70 and 1,416.39

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Solution

The fourth proportional to 2,464.53, 3,400.70 and 1,416.39 is: 1,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.53 : 3,400.70 = 1,416.39 : x
  2. Step 2: Convert to fraction form
    2,464.53/3,400.70 = 1,416.39/x
  3. Step 3: Cross multiply
    2,464.53x = 3,400.70 × 1,416.39
  4. Step 4: Simplify right side
    2,464.53x = 4,816,710.39
  5. Step 5: Solve for x
    x = 4,816,710.39/2,464.53
  6. Step 6: Final answer
    x = 1,954.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.